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Akimi4 [234]
3 years ago
7

Kenwyn is making flower arrangements for invent the table shows the number of flower arrangement F can make an M minutes which e

quation represents the relationship between the number of flower arrangement she can make in the time in minutes it takes her to make a flower arrangements
Mathematics
2 answers:
NARA [144]3 years ago
8 0

Answer:

b

Step-by-step explanation:

CaHeK987 [17]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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How do I find this, what’s the formula to find the 20th term and can anyone explain the formula? Will award brainliest
harina [27]

Answer:

  • f(n) = n^2 +1
  • f(20) = 401

Step-by-step explanation:

The first differences of the sequence are ...

  • 5-2 = 3
  • 10-5 = 5
  • 17-10 = 7
  • 26-17 = 9
  • 37-26 = 11

Second differences are ...

  • 5 -3 = 2
  • 7 -5 = 2
  • 9 -7 = 2
  • 11 -9 = 2

The second differences are constant, so the sequence can be described by a second-degree polynomial.

We can write and solve three equations for the coefficients of the polynomial. Let's define the polynomial for the sequence as ...

  f(n) = an^2 + bn + c

Then the first three terms of the sequence are ...

  • f(1) = 2 = a·1^2 + b·1 + c
  • f(2) = 5 = a·2^2 +b·2 + c
  • f(3) = 10 = a·3^2 +b·3 +c

Subtracting the first equation from the other two gives ...

  3a +b = 3

  8a +2b = 8

Subtracting the first of these from half the second gives ...

  (4a +b) -(3a +b) = (4) -(3)

  a = 1 . . . . . simplify

Substituting into the first of the 2-term equations, we get ...

  3·1 +b = 3

  b = 0

And substituting the values for a and b into the equation for f(1), we have ...

  1·1 + 0 + c = 2

  c = 1

So, the formula for the sequence is ...

  f(n) = n^2 + 1

__

The 20th term is f(20):

  f(20) = 20^2 +1 = 401

_____

<em>Comment on the solution</em>

It looks like this matches the solution of the "worked example" on your problem page.

4 0
3 years ago
Lindsey invested $3,250 in a cd that paid compound interest at a rate of 6.5% per year
tresset_1 [31]
The answer to your question is answer choice D
3 0
3 years ago
FREE BRAINLIST 2
kap26 [50]

Answer:

Mark me as brainliest please!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What are the postulates for congruent triangles
Delvig [45]

Hi there!

There are 5 ways to find if two triangles are congruent :

SSS, SAS, ASA, AAS & HL

<u>1. SSS (Side, Side, Side)</u>

Means that we have two triangles with 3 sides equal.

⇒ If 3 sides of one triangle are equal to 3 sides of another triangle, the triangles are congruent.

<u>2. SAS (Side, Angle, Side)</u>

Means that we have two triangles where we know 2 sides and the included angle are equal.

⇒ If 2 sides and the includent angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

<u>3. ASA (Angle, Side, Angle)</u>

Means that we have two triangles where we know 2 angles and the included side are equal.

⇒ If 2 angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

<u>4. AAS (Angle, Angle, Side)</u>

Means thant we have two triangles where we know 2 angles and the non-included side are equal.

⇒ If 2 angles and the non-included side of one triangle are equal to the coresponding angles and side of another triangle, the triangles are congruent.

<u>5. HL (Hypotenuse, leg)</u>

** This one only applies to <em><u>right-angled triangles</u></em>.**

Hypotenuse: The longest side of a right-angled triangle.

Legs: The other 2 sides of the right-angled triangle.

Means we have two right-angled triangles with the same length of hypotenuse and the same length for one of the other 2 legs (it doesn't matter which leg since the triangles could be rotated).

⇒ If the hypotenuse and one leg of one right-angled triangles are equal to the corresponding hypotenuse and leg of another right-angled triangles, the two triangles are congruent.


There you go! I really hope this helped, if there's anything just let me know! :)

7 0
3 years ago
Lauren has 43 flowers she has 16 fewer flowers than gabriel how many flower does gabriel have
WARRIOR [948]

Answer:

Step-by-step explanation:

Gabrielhs 59 flowers because 43 + 16= 59.

7 0
3 years ago
Read 2 more answers
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